Question :
A researcher hypothesizes that individuals who listen to classical music will score differently from the general population on a test of spatial ability. On a standardized test of spatial ability, µ =58.A random sample of 14 individuals who listen to classical music is given the same test. Their scores on the test are 52, 59, 63, 65, 58, 55, 62, 63, 53, 59, 61, 60, 57 and 59.

a) Is this a one-or two - tailed test?
b) What are H0 and Ha for this study?
c) Compute t obt.
e) Should H0 be rejected? What should the researcher conclude?
f) Determine the 95% confidence interval for the population mean, based on the sample

Question 2:
A researcher believes that thepercentage of people who exercise in California is greater than the nationalexercise rate. The national rate is20%. The researcher gathers a randomsample of 120 individuals who live in the California and finds that the number who exercise regularly is 31 out of 120.
a. What is X2obt?
b. What is df for this test?
c. What is X2cv?
d. What conclusion should be drawn from these results?